Evaluate
-\frac{4693}{216}\approx -21.726851852
Factor
-\frac{4693}{216} = -21\frac{157}{216} = -21.72685185185185
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-\frac{13}{1350}\times 2256.25
Calculate 47.5 to the power of 2 and get 2256.25.
-\frac{13}{1350}\times \frac{9025}{4}
Convert decimal number 2256.25 to fraction \frac{225625}{100}. Reduce the fraction \frac{225625}{100} to lowest terms by extracting and canceling out 25.
\frac{-13\times 9025}{1350\times 4}
Multiply -\frac{13}{1350} times \frac{9025}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{-117325}{5400}
Do the multiplications in the fraction \frac{-13\times 9025}{1350\times 4}.
-\frac{4693}{216}
Reduce the fraction \frac{-117325}{5400} to lowest terms by extracting and canceling out 25.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}